SOLUTION: a shipment of 15 television sets contains four defective ones. in how many ways can one select 5 of these for inspection so that:
a. none of the defective television sets are in
Algebra.Com
Question 125894: a shipment of 15 television sets contains four defective ones. in how many ways can one select 5 of these for inspection so that:
a. none of the defective television sets are included
b. both of the defective television sets are included
c. only one of the defective television sets are included
d. either two of the defective television sets or three of the non defective sets are included
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a shipment of 15 television sets contains four defective ones. in how many ways can one select 5 of these for inspection so that:
a. none of the defective television sets are included
11C5 = [11*10*9*8*7]/[1*2*3*4*5] = 462
----------------------------------------------
b. both of the defective television sets are included
Comment: There are four defective; you are selecting 5 TV's; what
is meant by "both"?
-------------------------------------------------
c. only one of the defective television sets are included
Pick a defective: 4 ways
Pick 4 others: 11C4 = 330
Total # of ways: 4*330= 1320
-----------------------------------------------------
d. either two of the defective television sets or three of the non defective sets are included
Those conditions are really the same condition when you are selecting 5.
----------
4C2*11C3 = 990
=========================
Cheers,
Stan H.
RELATED QUESTIONS
A shipment of 10 TV sets contains 2 units that are defective. In how many ways can 3 TV... (answered by greenestamps)
a shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel (answered by stanbon)
in a shipment of 12 television sets 3 found out to be defective.In how many ways can a... (answered by Edwin McCravy)
A shipment of 50 television sets contains 3 defective units. How many ways can a vending... (answered by Boreal)
A shipment of ten television sets contains 3 defective sets. How many ways can a hospital (answered by josmiceli)
A shipment of 10 television sets contains 3 defective sets. How many ways can a hospital... (answered by edjones)
A shipment of 35 computers contains three that are defective. How many ways can a small... (answered by stanbon)
Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out... (answered by stanbon)
Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out... (answered by stanbon)